Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843435 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 10 Pages |
Abstract
We present lower and upper error bounds under the BV-norm for piecewise linear Markov finite approximations to Frobenius–Perron operators in terms of the BV-norm of the residuals, so that a posteriori error estimates can be given. Numerical results using the Monte Carlo implementation are presented to support the theoretical analysis.
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Authors
Jiu Ding, Congming Jin, Aihui Zhou,